Topological method for coupled systems of impulsive stochastic semilinear differential inclusions with fractional Brownian motion
In this paper we prove the existence of mild solutions for a first-order impulsive semilinear stochastic differential inclusion with an infinite-dimensional fractional Brownian motion. We consider the cases in which the right hand side can be either convex or nonconvex-valued. The results are obtain...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/88951 |
| Acceso en línea: | https://hdl.handle.net/11441/88951 https://doi.org/10.24193/fpt-ro.2019.1.05 |
| Access Level: | acceso abierto |
| Palabra clave: | Mild solutions Fractional Brownian motion Impulses Matrix convergent to zero Generalized Banach space Fixed point Set-valued analysis Differential inclusions |
| Sumario: | In this paper we prove the existence of mild solutions for a first-order impulsive semilinear stochastic differential inclusion with an infinite-dimensional fractional Brownian motion. We consider the cases in which the right hand side can be either convex or nonconvex-valued. The results are obtained by using two different fixed point theorems for multivalued mappings, more precisely, the technique is based on a multivalued version of Perov’s fixed point theorem and a new version of a nonlinear alternative of Leray–Schauder’s fixed point theorem in generalized Banach spaces. |
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